Title :
The Characteristics of a Type of Biorthogonal Wavelet Packets with Eight-scale Factor in Higher Dimensions
Author :
Song, Shuyun ; Huo, Ailian
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Abstract :
In this paper, the notion of vector-valued wavelet packets for space L^2(R^n)^s is introduced, which are generalizations of univariate wavelet packets. A constructive method for a class of biorthogonal vector-valued multivariate wavelet packets is presented and their biorthogonality properties are characterized by virtue of matrix theory, and operator theory. Three biorthogonality formulas concerning these wavelet packets are provided. Furthermore, new Riesz bases of space L^2(R^n)^s from these wavelet packets are obtained.
Keywords :
Aggregates; Computer science education; Educational technology; Filter bank; Hydrogen; Multiresolution analysis; Pixel; Space technology; Wavelet analysis; Wavelet packets; biorthogonality properties; multivariate; wavelet packets;
Conference_Titel :
Challenges in Environmental Science and Computer Engineering (CESCE), 2010 International Conference on
Conference_Location :
Wuhan, China
Print_ISBN :
978-0-7695-3972-0
Electronic_ISBN :
978-1-4244-5924-7
DOI :
10.1109/CESCE.2010.228
